Posted by Best InChennai 10 months ago In:

Best InChennai
Best InChennai Asked:

Missing Term

Choose the missing number 60,69,85,_,146 (a) 110 (b) 117 (c)109 (d)120?

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Anonymous
Anonymous Answer:

The missing number is 110.

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OronD
OronD Answered:

The missing number is 110.   
Explanation: 
The original series is:      60, 69, 85, 110, 146, 195......
The differences (phase 1):  9,  16,  25,   36,  49......
The differences(phase 2, that means differences of the differences) are: 
7, 9, 11, 13, ......... simple odd numbers (starting with 7).    

If I am not clear enough, please let me know and I'll try harder.   

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Anonymous
Anonymous Answer:

I came up with the answer a slightly different way.

The square roots of  the given differences (9, 16, and 36) are 3, 4, and 6. Therefore the missing difference is 5 squared or 25, which when added to 85 gives you the next number in the sequence, 110.

 

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